Wave propagation and localization in randomly disordered layered composites with local resonances

Localization of elastic waves, both in-plane and anti-plane waves, propagating obliquely or perpendicular to periodic and randomly disordered layered composites with and without local resonances is investigated. The transmission coefficient and the localization factor are determined by means of the transfer matrix method. Compared with the corresponding binary structures without local resonances, new phenomenon is found in the periodically layered fourfold composite structure with local resonances.